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--- un:gaussian-units [2024/06/24 01:53] – created asad
+++ un:gaussian-units [2024/06/24 02:04] (current) – asad
@@ Line 1: / Line 1: @@
 ====== Gaussian units ======
-It is constructed by considering the value of the permittivity of free space
+[[Gauss]] constructed a [[CGS]] system of units by considering the value of the permittivity of free space
 $$ \epsilon_0 = \frac{1}{4\pi} $$
-which makes Coulomb's law for electric fields very simple:
+which makes [[Coulomb]]'s law very simple by making $4\pi\epsilon_0=1$ giving rise to the electric field
 $$ E = \frac{q}{r^2} $$
 that is a charge $q$ creates an electric field of magnitude $E$ at a distance $r$.
+Because speed of light [[c]] is just $(\epsilon_0\mu_0)^{-1/2}$, in Gaussian units we can find the permeability of free space as
+$$ \mu_0 = \frac{4\pi}{c^2}. $$